Spaces with finitely generated cohomology
نویسندگان
چکیده
منابع مشابه
Loop Spaces of H-spaces with Finitely Generated Cohomology
Let p be an odd prime. We assume that all spaces are completed at p in the sense of Bousfield-Kan [2], and the cohomologies are taken with Z/pcoefficients unless otherwise specified. In this paper, we investigate the homotopy type for the loop space of an H-space whose cohomology is finitely generated as an algebra. In the case of the cohomology is finite dimensional, there is the following the...
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Suppose X is a simply connected mod p H-space such that the mod p cohomology H∗(X;Z/p) is finitely generated as an algebra. Our first result shows that if X is an An-space, then X is the total space of a principal An-fibration with base a finite An-space and fiber a finite product of CP∞s. As an application of the first result, it is shown that if X is a quasi Cp-space, then X is homotopy equiv...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2002
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(01)00016-5